03021nam 22006734a 450 991045122660332120210615000722.01-282-19439-997866121943993-11-019816-910.1515/9783110198164(CKB)1000000000335194(EBL)314073(OCoLC)179774394(SSID)ssj0000182346(PQKBManifestationID)11190177(PQKBTitleCode)TC0000182346(PQKBWorkID)10166185(PQKB)11223381(MiAaPQ)EBC314073(DE-599)GBV587990139(DE-B1597)32335(OCoLC)979731127(DE-B1597)9783110198164(PPN)175535957(PPN)140811095(Au-PeEL)EBL314073(CaPaEBR)ebr10194881(OCoLC)567824926(EXLCZ)99100000000033519420021204d2003 uy 0engurnn#---|u||utxtccrAn introduction to abstract algebra[electronic resource] /Derek J.S. Robinson2nd editionNew York Walter de Gruyter20031 online resource (292 p.)De Gruyter textbookDescription based upon print version of record.3-11-017544-4 Includes bibliographical references (p. [267]) and indexes.Front matter --Contents --Chapter 1. Sets, relations and functions --Chapter 2. The integers --Chapter 3. Introduction to groups --Chapter 4. Cosets, quotient groups and homomorphisms --Chapter 5. Groups acting on sets --Chapter 6. Introduction to rings --Chapter 7. Division in rings --Chapter 8. Vector spaces --Chapter 9. The structure of groups --Chapter 10. Introduction to the theory of fields --Chapter 11. Galois theory --Chapter 12. Further topics --BackmatterThis is a high level introduction to abstract algebra which is aimed at readers whose interests lie in mathematics and in the information and physical sciences. In addition to introducing the main concepts of modern algebra, the book contains numerous applications, which are intended to illustrate the concepts and to convince the reader of the utility and relevance of algebra today. In particular applications to Polya coloring theory, latin squares, Steiner systems and error correcting codes are described. Another feature of the book is that group theory and ring theory are carried further thaGruyter textbook.Algebra, AbstractElectronic books.Algebra, Abstract.512/.02Robinson Derek John Scott50208MiAaPQMiAaPQMiAaPQBOOK9910451226603321Introduction to abstract algebra147612UNINA